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Structured and simultaneous Lyapunov functions for system stability problems
Lyapunov function system robustness quadratic lyapunov function the numerical values
2015/8/13
It is shown that many system stability and robustness problems can be reduced to the question of when there is a quadratic Lyapunov function of a certain structure which establishes stability of dx/dt...
Nonconservative Robust Control: Optimized and Constrained Sensitivity Functions
optimization methods process control,
2015/7/3
An automated procedure for optimization of proportional–integral–derivative (PID)-type controller parameters
for single-input, single-output (SISO) plants with explicit model
uncertainty is presente...
Constructing Lyapunov Functions for Nonlinear Delay-Differential Equations using Semidefinite Programming
Delay-Differential Equations Lyapunov Functions
2015/6/19
The search for a polynomial Lyapunov function proving delay-independent stability of multivariate nonlinear polynomial delay differential equations is approached using semidefinite programming. The fu...
Covering Numbers for Convex Functions
Covering Numbers Convex Functions Information Theory
2012/4/17
In this paper we study the covering numbers of the space of convex and uniformly bounded functions in multi-dimension. We find optimal upper and lower bounds for the $\epsilon$-covering number of $\C(...
The credible sets for system parameters and transfer functions are discussedin this paper. The derivations of the credible sets via the Bayesian statistical methods aregiven in various cases and the c...
GENERALIZED SUBCONVEXLIKE FUNCTIONS AND MULTIPLE OBJECTIVE OPTIMIZATION
Generalized subconvexlike functions mul
2007/8/7
In this paper, we give some equivalent conditions for generalized subconvexlike functions. A Farkas-Minkowski theorem for generalized subconvexlike functions is then proved. These results are used to ...
OPTIMAL VALUE FUNCTIONS IN MATHEMATICAL PROGRAMMING AND CONVERGENCE FOR GRADIENT PROJECTION METHOD
optimal value function indicator functi
2007/8/7
In [1] we proved a general result on the directional derivative of optimal value functions in mathematical programming problems. In this paper, we prove, in addition to the general theorem, several ot...
AN IMPROVEMENT ON ESTIMATE OF d_0/d~* FOR STARLIKE FUNCTIONS
Starlike function radius of convexity
2007/8/7
Let S~* be the class of starlike functions in unit disc. For f∈S~*, denote its radius of convexity by r_0 and let d_0=\[min_}{\|z\|=r_0}\]|f(z)|, d~*=inf{|β||f(z)≠β,|z|<1}. In this paper we prove d_0/...