diff --git a/kernel/sched/topology.c b/kernel/sched/topology.c
index 137ccfed9a43..6ddb804b2dec 100644
--- a/kernel/sched/topology.c
+++ b/kernel/sched/topology.c
@@ -270,12 +270,45 @@ static void destroy_perf_domain_rcu(struct rcu_head *rp)
 	free_pd(pd);
 }
 
+/*
+ * EAS can be used on a root domain if it meets all the following conditions:
+ *    1. an Energy Model (EM) is available;
+ *    2. the SD_ASYM_CPUCAPACITY flag is set in the sched_domain hierarchy.
+ *    3. the EM complexity is low enough to keep scheduling overheads low;
+ *
+ * The complexity of the Energy Model is defined as:
+ *
+ *              C = nr_pd * (nr_cpus + nr_cs)
+ *
+ * with parameters defined as:
+ *  - nr_pd:    the number of performance domains
+ *  - nr_cpus:  the number of CPUs
+ *  - nr_cs:    the sum of the number of capacity states of all performance
+ *              domains (for example, on a system with 2 performance domains,
+ *              with 10 capacity states each, nr_cs = 2 * 10 = 20).
+ *
+ * It is generally not a good idea to use such a model in the wake-up path on
+ * very complex platforms because of the associated scheduling overheads. The
+ * arbitrary constraint below prevents that. It makes EAS usable up to 16 CPUs
+ * with per-CPU DVFS and less than 8 capacity states each, for example.
+ */
+#define EM_MAX_COMPLEXITY 2048
+
 static void build_perf_domains(const struct cpumask *cpu_map)
 {
+	int i, nr_pd = 0, nr_cs = 0, nr_cpus = cpumask_weight(cpu_map);
 	struct perf_domain *pd = NULL, *tmp;
 	int cpu = cpumask_first(cpu_map);
 	struct root_domain *rd = cpu_rq(cpu)->rd;
-	int i;
+
+	/* EAS is enabled for asymmetric CPU capacity topologies. */
+	if (!per_cpu(sd_asym_cpucapacity, cpu)) {
+		if (sched_debug()) {
+			pr_info("rd %*pbl: CPUs do not have asymmetric capacities\n",
+					cpumask_pr_args(cpu_map));
+		}
+		goto free;
+	}
 
 	for_each_cpu(i, cpu_map) {
 		/* Skip already covered CPUs. */
@@ -288,6 +321,20 @@ static void build_perf_domains(const struct cpumask *cpu_map)
 			goto free;
 		tmp->next = pd;
 		pd = tmp;
+
+		/*
+		 * Count performance domains and capacity states for the
+		 * complexity check.
+		 */
+		nr_pd++;
+		nr_cs += em_pd_nr_cap_states(pd->em_pd);
+	}
+
+	/* Bail out if the Energy Model complexity is too high. */
+	if (nr_pd * (nr_cs + nr_cpus) > EM_MAX_COMPLEXITY) {
+		WARN(1, "rd %*pbl: Failed to start EAS, EM complexity is too high\n",
+						cpumask_pr_args(cpu_map));
+		goto free;
 	}
 
 	perf_domain_debug(cpu_map, pd);