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Design of stabilizing state feedback for delay systems via convex optimization
stabilizing state feedback delay systems convex optimization
2015/7/13
For linear systems with delays, we define a new class of Lyapunov-like functionals that may be used to prove stability. We also show how we may design a stabilizing (delayed) state feedback for delay ...
Closed-Loop Convex Formulation of Classical and Singular Value Loop Shaping
Closed-Loop Convex Formulation Classical Singular Value Loop Shaping
2015/7/13
We show that control system design via classical loop shaping and singular value loop shaping can be formulated as a closed-loop convex problem. Consequently, loop shaping problems can be solved by ef...
Efficient Convex Optimization for Engineering Design
Optimization numerical methods linear programming robust control convex programming interior-point methods
2015/7/13
Many problems in engineering analysis and design can be cast as convex optimization problems, often nonlinear and nondifferentiable. We give a high-level description of recently developed interior-poi...
Semidefinite Programming Relaxations of Non-Convex Problems in Control and Combinatorial Optimization
Semidefinite Programming Relaxations Non-Convex Problems Control Combinatorial Optimization
2015/7/13
We point out some connections between applications of semidefinite programming in control and in combinatorial optimization. In both fields semidefinite programs arise as convex relaxations of NP-hard...
Antenna Array Pattern Synthesis via Convex Optimization
Antenna Array Pattern Synthesis Convex Optimization
2015/7/13
We show that a variety of antenna array pattern synthesis problems can be expressed as convex optimization problems, which can be (numerically) solved with great efficiency by recently developed inter...
FIR Filter Design via Spectral Factorization and Convex Optimization
FIR Filter Design Spectral Factorization Convex Optimization
2015/7/13
We consider the design of finite impulse response (FIR) filters subject to upper and lower bounds on the frequency response magnitude. The associated optimization problems, with the filter coefficient...
Analysis of Linear Systems with Saturation Using Convex Optimization
Analysis Linear Systems Saturation Convex Optimization
2015/7/13
We show how linear matrix inequalities (LMI) can be used to perform local stability and performance analysis of linear systems with saturating elements. This leads to conservative information on stabi...
Control Applications of Nonlinear Convex Programming
linear programming convex optimization interior-point methods robust optimal control
2015/7/10
Since 1984 there has been a concentrated effort to develop efficient interior-point methods for linear programming (LP). In the last few years researchers have begun to appreciate a very important pro...
Low-Authority Controller Design via Convex Optimization
Low-Authorit Controller Design Convex Optimization
2015/7/10
In this paper we address the problem of low-authority controller (LAC) design. The premise is that the actuators have limited authority, and hence cannot significantly shift the eigenvalues of the sys...
On Achieving Reduced Error Propagation Sensitivity in DFE Design via Convex Optimization
On Achieving Reduced Propagation Sensitivity DFE Design via Convex Optimization
2015/7/10
Decision Feedback Equalization (DFE) is expected in digital TV receivers and other high error rate environments. Error propagation usually occurs in infrequent bursts. It is argued here that the minim...
QoS and Fairness Constrained Convex Optimization of Resource Allocation for Wireless Cellular and Ad Hoc Networks
Ad hoc Networks Cellular Networks Convex Optimization QoS Constrained Resource Allocation Fairness
2015/7/10
For wireless cellular and ad hoc networks with QoS constraints, we propose a suite of problem formulations that allocate network resources to optimize SIR, maximize throughput, and minimize delay. The...
Convex Optimization of Output Link Scheduling and Active Queue Management in QoS Constrained Packet Switches
Convex Optimization Output Link Scheduling Active Queue Management QoS Constrained Packet Switches
2015/7/10
We present two novel algorithms at the ingress and egress of packet switches with QoS provisioning and fairness constraints. We first provide a suite of generalized weighted fair queuing formulations ...
Advances in Convex Optimization:Interior-point Methods,Cone Programming, and Applications
Advances in Convex Optimization Interior-point Methods Cone Programming Applications
2015/7/10
In this talk I will give an overview of some major developments in convex optimization that have emerged over the last ten years or so. The basic idea is that convex problems are fundamentally tractab...
Piecewise-Affine State Feedback for Piecewise-Affine Slab Systems Using Convex Optimization
Piecewise-affi ne systems State feedback Convex optimization Ellipsoids Lyapunov function
2015/7/10
This paper shows that Lyapunov-based state feedback controller synthesis for piecewise-affine (PWA) slab systems can be cast as an optimization problem subject to a set of linear matrix inequalities (...
Tractable Fitting with Convex Polynomials via Sum-of-Squares
Tractable Fitting Convex Polynomials Sum-of-Squares
2015/7/10
We consider the problem of fitting given data (u_1,y_1),...,(u_m,y_m), where u_i in {bf R}^n and y_i in {bf R}, with a convex polynomial f$. A technique to solve this problem using sum of squares pol...