Wedevelop a switched feedback controller that optimizes the rate of convergence of the state trajectories to the origin for a class of second order LTI systems. Specifically, we derive an algorithmwhich optimizes the rate of convergence by employing a controller that switches between symmetric gains. As a byproduct of our investigation, we find that, in general, the controllers which optimize t...

This paper performs a joint analysis of control and coding for stability and performance of LTI systems connected over communication networks. We study the communication rate required for stability of the differential entropy and mean-square stability of the state estimation error. We show that the optimal control and coding problems in the minimization of an LQR cost are separable; we further ...

9.1.1 The Optimization Setup Let G = G(s) be a matrix-valued function bounded on the jθ-axis. The task of Hankel ˆ optimal model reduction of G calls for finding a stable LTI system G of order less than a given positive integer m, such that the Hankel norm ∞�∞H of the difference � = G − Ĝ is minimal. Remember that Hankel norm of an LTI system with transfer matrix � = �(s), input w, and output v...

The design of partial-band linear periodically time-varying systems (PBTV) imitating linear time-invariant (LTI) systems is approached using a relative ` error criterion. This error criterion results from a natural extension of the Chebyshev error criterion for the design of LTI systems. A complete analysis of the error criterion is presented. An algorithm is introduced which nds a locally opti...

A new method for predicting timing jitter caused by device noise in current-mode logic (CML) frequency dividers is presented. Device noise transformation into jitter is modeled as a linear time-varying (LTV) process, as opposed to a previously published method, which models jitter generation as a linear time-invariant (LTI) process. Predictions obtained using the LTV method match jitter values ...

The problem of time optimal feedback control of a single input, continuous time, linear time invariant (LTI) system is considered. The control input is constrained to obey |u(t)| ≤ 1. It is known that the solution to this problem is bang-bang with the input switching between the extreme values ±1 according to some “switching surfaces” in the state space. It is shown that for a class of LTI syst...

In this paper, the complete stability domain for LTI parameter-dependent systems is synthesized by extending existing results in the literature. This domain is calculated through a guardian map which involves the determinant of the Kronecker sum of a matrix with itself. The stability domain is synthesized for both single and multi-parameter dependent LTI systems. The single parameter case is ea...

This paper deals with the problem of model (in)validation of discrete-time, causal, LTI stable models subject to Slowly Linear Time Varying structured uncertainly, using freqnency-domain data corrupted by additive noise. It is nell known that in the case of structured LTI uncertainty the problem is NP hard in the number of uncertainty blocks. The main contribution of this paper shows that, on t...

This paper presents a generalized method to implement the idea of parameterization and model realization to synthesize a control function that affects a possible state transfer that are equivalent to the controllability of the Linear Time-Invariant (LTI) control systems. The key idea here is that one should be able to link LTI control system with its system variables in parameterized form by th...

This paper presents an area efficient architecture for a linear periodically time varying (LPTV) filter. It is developed from the output switching representation of LPTV filter. In this representation, an N-tap,M Period LPTV filter can be realized by M linear time invariant (LTI) filters of N taps each connected in parallel with an M periodic switch at the output. We devloped an area efficient ...