It is known that input–output approaches based on scaled small-gain theorems with constant
D-scalings and integral linear constraints are non-conservative for the analysis of some …

We consider the question of diagonal Riccati stability for a pair of real matrices A, B. A
necessary and sufficient condition for diagonal Riccati stability is derived and applications of …

This paper investigates the input‐output gains, including ℓ 1‐and ℓ∞‐gains and L 1‐and
L∞‐gains, of discrete‐time and continuous‐time positive periodic systems. For the discrete …

We consider the existence of diagonal Lyapunov–Krasovskii (L–K) functionals for positive
discrete-time systems subject to time-delay. In particular, we show that the existence of a …

This article presents a new approach for solving the Optimal Control Problem (OCP) of linear
time-delay systems with a quadratic cost functional. The proposed method can also be used …

In this paper are solved problems concerning the state estimation in observer-based control
of ostensible positive linear systems. The method is based on a composed form of the …

We consider a class of square MIMO transfer functions that map a proper cone in the space
of L2 input signals to the same cone in the space of output signals. Transfer functions in this …

This paper investigates the finite-time optimal control problems for positive linear systems
with a time-varying control input. Cost functional of the system state is constructed. Under …

This paper attempts to resolve the problem concerning the interval observers design for
linear systems with ostensible Metzler system matrices. Because system dynamics matrices …

This work investigates the absolute stability problem for positive Persidskii systems with
delay. Right-hand sides of these systems are linear combinations of nonlinearities of a …